Givem SU ~ LR .S.-----------.T.-----l----.U.
TU ~ LN
Prove: ST ~ N-R .L.-----l---.N.------.R.


Statements
a. SU -~ LR, TU -~ LN
b.
c.SU = ST + TU
LR = LN + AFR
d.ST + TU = LN + NR
e. ST + LN = LN + NR
f. ST + LN- LN = LN + NR - LN
g.
h.ST ~- NR
Reasons
a.
b. Definition of ~ segments
c.
d.
e.
f.
g.
h.

Answers Below:

Statements==> b. SU=LR, TU=LN g.ST=NR

Reasons==> a. Given c. Segment Addition Postulate d. Substitution/Transitive P.E. e.Substitution f.Subtraction P.E. g. Simplify h.Definition of congruence



Given>
LK = 5, JK = 5, external image linesegment_jk.gif external image congruent.gif external image linesegment_jl.gif
external image blank.gif
external image prove_arrow.gif
external image linesegment_lk.gif external image congruent.gif external image linesegment_jl.gif
external image blank.gif

external image mcd_ma_geo_lsn_0395937779_p102_f04.gif

external image mcd_ma_geo_lsn_0395937779_p102_f05_proof.gif

SOLUTIONexternal image blank.gif
a. LK = 5external image blank.gif
b. JK = 5external image blank.gif
external image blank.gif

c. Definition of congruent segmentsexternal image blank.gif
d. external image linesegment_lk.gif external image congruent.gif external image linesegment_jl.gif


Given> external image linesegment_ab.gif external image congruent.gif external image linesegment_jk.gif, external image linesegment_jk.gif external image congruent.gif external image linesegment_st.gif external image blank.gif
external image prove_arrow.gif
external image linesegment_ab.gif external image congruent.gif external image linesegment_st.gif
external image blank.gif

external image mcd_ma_geo_lsn_0395937779_p102_f15.gif

external image mcd_ma_geo_lsn_0395937779_p102_f16_proof.gif



Write a complete proof by rearranging the reasons listed on the pieces of paper.

external image given_arrow.gif
external image linesegment_uv.gif external image congruent.gif external image linesegment_xy.gif, external image linesegment_vw.gif external image congruent.gif external image linesegment_wx.gif, external image linesegment_wx.gif external image congruent.gif external image linesegment_yz.gif
external image blank.gif
external image prove_arrow.gif
external image linesegment_uw.gif external image congruent.gif external image linesegment_xz.gif
external image blank.gif

external image mcd_ma_geo_lsn_0395937779_p102_f22.gif

external image mcd_ma_geo_lsn_0395937779_p102_f23_proof.gif